How do you find the distance of EF, if E(-1, 1) and F(0, -5)?

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Answer 1 · 2017-01-11T23:40:08

See the process for using the distance formula below:

The formula for calculating the distance between two points is:

#d = sqrt((color(red)(x_2) - color(blue)(x_1))^2 + (color(red)(y_2) - color(blue)(y_1))^2)#

Substituting the points from the problem gives:

#d = sqrt((color(red)(0) - color(blue)(-1))^2 + (color(red)(-5) - color(blue)(1))^2)#

We can now calculate the difference:

#d = sqrt((1)^2 + (-6)^2)#

#d = sqrt(1 + 36)#

#d = sqrt(37)#

#d = 6.08# rounded to the nearest hundredth.